Well I have considered these things which is why I suggest it only gives 1 mat per token.
Phase 1 requires 18 crystals farmed from FATEs and they can be obtained in 1 day or 2 now for most people due to the increase drop rate. If they don't feel like challenging the RNG then it should be fine for them to collect the "Legendary" Weapon tokens for 18 days to skip out on Farming FATES within 1 day or if they feel RNGod is not satisfied with their tears enough they can get their missing last 1 with a token.
Phase 3 is considered the longest one of the 5 current phases as it requires 80 unidentified materials each cost 680 tomes/10 Alex tokens/1000 hunt points so the tokens would help people progress through this a bit fast as the current cost of each 80 mat a casual level effort would be 2 per day (40 day total to complete if only obtain 2 tokens per day). HQ mats maybe put in once the content reach a point where people hardly craft them anymore due to Anima being out of date such as in 4.0 new Relic/Anima/??? weapons.
Aether Oil is probably the 2nd easiest phase of the current 5 phases due to CT weekly allow players to get them in advance for free while also getting tomes to advance on phase 3 with unidentified materials so maybe not introduce into the shop quite yet until maybe 4.0 Relic/Anima/??? weapon when 3.X Anima weapon is out of date.
Phase 5..... well people consider this the more diverse phase as it basically has multiple sources to progress and the Umbrite only cost 300 tomes which is half the amount of getting a unidentified material. Crafters are halving a much easier time getting the 80 sands needed and out side of crafting leves can give 15 or more from leve amber if you burn through a stack of 99 leves (depending on luck) for easy 15 or more Crystal Sand within one day. Then there is Poetic tomestone for the 5/5 Zenith relic items per 1 Crystal Sand if players want to farm Poetic tomes which only cost 540 Poetic tomestones total. I actually calculated phase 5 to take less time than phase 3 would take being around maybe 25 days or less depending on how players farm their Crystal Sand and how efficent they are with obtain Eso tomes for Umbrite along with their luck on getting the +4, +5, and +6 point bonus once they reach the 50% mark of their weapon progress.